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122124 = 22310177
BaseRepresentation
bin11101110100001100
320012112010
4131310030
512401444
62341220
71016022
oct356414
9205463
10122124
1183832
125a810
1343782
1432712
15262b9
hex1dd0c

122124 has 12 divisors (see below), whose sum is σ = 284984. Its totient is φ = 40704.

The previous prime is 122117. The next prime is 122131. The reversal of 122124 is 421221.

It is an interprime number because it is at equal distance from previous prime (122117) and next prime (122131).

It is a tau number, because it is divible by the number of its divisors (12).

It is a Harshad number since it is a multiple of its sum of digits (12), and also a Moran number because the ratio is a prime number: 10177 = 122124 / (1 + 2 + 2 + 1 + 2 + 4).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

122124 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5077 + ... + 5100.

2122124 is an apocalyptic number.

It is an amenable number.

122124 is an abundant number, since it is smaller than the sum of its proper divisors (162860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

122124 is a wasteful number, since it uses less digits than its factorization.

122124 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10184 (or 10182 counting only the distinct ones).

The product of its digits is 32, while the sum is 12.

The square root of 122124 is about 349.4624443342. The cubic root of 122124 is about 49.6135542215.

Adding to 122124 its reverse (421221), we get a palindrome (543345).

The spelling of 122124 in words is "one hundred twenty-two thousand, one hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 12 10177 20354 30531 40708 61062 122124